48684632832 has 216 divisors, whose sum is σ = 153991223568. Its totient is φ = 14670028800.

The previous prime is 48684632761. The next prime is 48684632851. The reversal of 48684632832 is 23823648684.

48684632832 is a `hidden beast` number, since 48 + 68 + 463 + 2 + 83 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4581958 + ... + 4592570.

Almost surely, 2^48684632832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48684632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995611784).

48684632832 is an abundant number, since it is smaller than the sum of its proper divisors (105306590736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48684632832 is a wasteful number, since it uses less digits than its factorization.

48684632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10810 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 48684632832 in words is "forty-eight billion, six hundred eighty-four million, six hundred thirty-two thousand, eight hundred thirty-two".